Fabien Pazuki [HUJI-BGU AGNT Seminar]

Title: Regulators of number fields and abelian varieties.

Abstract: In the general study of regulators, we present three inequalities. We first bound from below the regulators of number fields, following previous works of Silverman and Friedman. We then bound from below the regulators of Mordell-Weil groups of abelian varieties defined over a number field, assuming a conjecture of Lang and Silverman. Finally we explain how to prove an unconditional statement for elliptic curves of rank at least 4. This third inequality is joint work with Pascal Autissier and Marc Hindry. We give some corollaries about the Northcott property and about a counting problem for rational points on elliptic curves.

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Meeting ID: 468 718 180     


Mon, 01/06/2020 - 14:15 to 16:00